Because of a crack in its base, a cistern that a pump normally fills in 10 hours now takes 12.5 hours to fill. Working alone, in how many hours would the crack drain the full cistern?

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Accepted Answer

50. Crack's emptying rate = 1/10 − 1/12.5 = 0.10 − 0.08 = 0.02 of the cistern per hour, so it drains the full cistern in 50 hours.

Because of a crack in its base, a cistern that a pump normally fills in 10 hours now takes 12.5 hours to fill. Working alone, in how many hours would the crack drain the full cistern?

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